A comparative analysis of Spearman's rho and Kendall's tau in normal and contaminated normal models

Xu, Weichao; Hou, Yunhe; Hung, Yao-Min; Zou, Yuexian

doi:10.1016/j.sigpro.2012.08.005

Cited by 129 publications

(78 citation statements)

References 58 publications

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“…This estimation is only accurate for values of jrj < 0.8, therefore we considered another variance estimation (method C) given in Xu, Hou, Hung, and Zou (2013), which is defined by…”

Section: Kendall's Taumentioning

confidence: 99%

“…We calculated the difference between the upper and the lower limits and determined the mean of these differences in order to generate the average width values. We only considered the two variance estimations that performed best: meaning that we used variance estimation (B) of Bonett and Wright (2000) for Spearman's rho and variance estimation (C) of Xu et al (2013) for Kendall's tau. The average width values for these two methods are summarized in Table 6.…”

Section: Comparing the Two Measuresmentioning

confidence: 99%

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Effective use of Spearman's and Kendall's correlation coefficients for association between two measured traits

2015

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13We examine the performance of the two rank order correlation coefficients (Spearman's rho 14 and Kendall's tau) for describing the strength of association between two continuously 15 measured traits. We begin by discussing when these measures should, and should not, be 16 preferred over Pearson's product moment correlation coefficient on conceptual grounds. For 17 testing the null hypothesis of no monotonic association, our simulation studies found both 18

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“…This estimation is only accurate for values of jrj < 0.8, therefore we considered another variance estimation (method C) given in Xu, Hou, Hung, and Zou (2013), which is defined by…”

Section: Kendall's Taumentioning

confidence: 99%

Section: Comparing the Two Measuresmentioning

confidence: 99%

Effective use of Spearman's and Kendall's correlation coefficients for association between two measured traits

2015

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“…The predictive ability was evaluated by Spearman's rank correlation coefficient validation analysis (33)(34)(35).…”

Section: Qm-mm Interaction Energy Calculationsmentioning

confidence: 99%

The Binding Mode Prediction and Similar Ligand Potency in the Active Site of Vitamin D Receptor with QM/MM Interaction, MESP, and MD Simulation

2016

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Non-secosteroidal ligands are well-known vitamin D receptor (VDR) agonists. In this study, we described a combined QM/MM to define the protein-ligand interaction energy a strong positive correlation in both QM-MM interaction energy and binding free energy against the biological activity. The molecular dynamics simulation study was performed, and specific interactions were extensively studied. The molecular docking results and surface analysis shed light on steric and electrostatic complementarities of these non-secosteroidal ligands to VDR. Finally, the drug likeness properties were also calculated and found within the acceptable range. The results show that bulky group substitutions in side chain decrease the VDR activity, whereas a small substitution increased it. Functional analyses of H393A and H301A mutations substantiate their roles in the VDR agonistic and antagonistic activities. Apart from the His393 and His301, two other amino acids in the hinge region viz. Ser233 and Arg270 acted as an electron donor/acceptor specific to the agonist in the distinct ligand potency. The results from this study disclose the binding mechanism of VDR agonists and structural modifications required to improve the selectivity.

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“…When ε is sufficiently small, the approximate mean of the SR correlation coefficient can be defined as [12]:…”

Section: Robustness Analysis To Salt-and-pepper Noisementioning

confidence: 99%

“…Even a single this kind of noise will lead to serious error in traditional DIC applications. The Spearman's rho correlation [11][12][13], proposed as another DIC criterion [14], is robust to salt-and-pepper noise. In this manuscript, we focus on its robustness in DIC.…”

Section: Introductionmentioning

confidence: 99%

Robustness analysis of digital image spearman's rho correlation

Huang¹,

Wang²,

Xu³

et al. 2016

Proceedings of the 2016 International Conference on Advanced Electronic Science and Technology (AEST 2016)

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Abstract. The presence of salt-and-pepper noise in speckle image prevents the precise measurement of deformation and displacement fields in the traditional digital image correlation (DIC) technique. Spearman's rho (SR) has been introduced as a kernel correlation function in the DIC. The robustness of SR is quantitatively analyzed in following two cases: one is speckle images contaminated by same distribution salt-and-pepper noise, and the other is contaminated by random distribution noise. Theoretical and simulation results suggest that the DIC using SR is robust to about 10% salt-and-pepper noise. SR is suitable for measurement deformation and displacement fields.

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A comparative analysis of Spearman's rho and Kendall's tau in normal and contaminated normal models

Cited by 129 publications

References 58 publications

Effective use of Spearman's and Kendall's correlation coefficients for association between two measured traits

Effective use of Spearman's and Kendall's correlation coefficients for association between two measured traits

The Binding Mode Prediction and Similar Ligand Potency in the Active Site of Vitamin D Receptor with QM/MM Interaction, MESP, and MD Simulation

Robustness analysis of digital image spearman's rho correlation

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